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Finding the Fourth Proportional to 701.15, 966.62 and 583.30

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Solution

The fourth proportional to 701.15, 966.62 and 583.30 is: 804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.15 : 966.62 = 583.30 : x
  2. Step 2: Convert to fraction form
    701.15/966.62 = 583.30/x
  3. Step 3: Cross multiply
    701.15x = 966.62 × 583.30
  4. Step 4: Simplify right side
    701.15x = 563,821.70
  5. Step 5: Solve for x
    x = 563,821.70/701.15
  6. Step 6: Final answer
    x = 804.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.